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23923736929 = 137211292
BaseRepresentation
bin10110010001111101…
…110100000101100001
32021202021201202102201
4112101331310011201
5342443434040204
614553532413201
71504565260111
oct262175640541
967667652381
1023923736929
11a167364714
124778017201
132343576b71
14122d467041
159504799a4
hex591f74161

23923736929 has 9 divisors (see below), whose sum is σ = 24121002297. Its totient is φ = 23728075584.

The previous prime is 23923736923. The next prime is 23923736987. The reversal of 23923736929 is 92963732932.

It is a happy number.

The square root of 23923736929 is 154673.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3659645025 + 20264091904 = 60495^2 + 142352^2 .

It is not a de Polignac number, because 23923736929 - 219 = 23923212641 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 23923736929.

It is not an unprimeable number, because it can be changed into a prime (23923736923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 21189637 + ... + 21190765.

Almost surely, 223923736929 is an apocalyptic number.

23923736929 is the 154673-rd square number.

23923736929 is the 77337-th centered octagonal number.

It is an amenable number.

23923736929 is a deficient number, since it is larger than the sum of its proper divisors (197265368).

23923736929 is an frugal number, since it uses more digits than its factorization.

23923736929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2532 (or 1266 counting only the distinct ones).

The product of its digits is 6613488, while the sum is 55.

The spelling of 23923736929 in words is "twenty-three billion, nine hundred twenty-three million, seven hundred thirty-six thousand, nine hundred twenty-nine".

Divisors: 1 137 1129 18769 154673 1274641 21190201 174625817 23923736929